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Finding the Third Proportional to 190,410 and 418,194

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Solution

The third proportional to 190,410 and 418,194 is: 918,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,410 : 418,194 = 418,194 : x
  2. Step 2: Convert to fraction form
    190,410/418,194 = 418,194/x
  3. Step 3: Cross multiply
    190,410x = 418,194 × 418,194
  4. Step 4: Simplify right side
    190,410x = 174,886,221,636
  5. Step 5: Solve for x
    x = 174,886,221,636/190,410
  6. Step 6: Final answer
    x = 918,471.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.